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Models of Neutrino Mass

Models of Neutrino Mass. G.G.Ross, IPPP December 2005. Origin of mass and mass hierarchy. What do we learn from the mixing angles?. Origin of Neutrino masses. Dirac or Majorana?. Origin of Neutrino masses. Dirac or Majorana?. Weinberg 1979. Origin of Neutrino masses. Dirac or Majorana?.

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Models of Neutrino Mass

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  1. Models of Neutrino Mass G.G.Ross, IPPP December 2005 Origin of mass and mass hierarchy What do we learn from the mixing angles?

  2. Origin of Neutrino masses Dirac or Majorana?

  3. Origin of Neutrino masses Dirac orMajorana? Weinberg 1979

  4. Origin of Neutrino masses Dirac orMajorana? Weinberg 1979 Minkowski mechanism

  5. Origin of Neutrino masses Dirac orMajorana? Weinberg 1979

  6. Closed string 11D propagation Graviton, Modulini Open string SM states Diracor Majorana? New space dimensions Arkani Hamed, Dimopoulos, March Russell Dienes,Farragi } Flux spreading In 4D small Dirac masses can arise through higher dimension operators Abel, Dedes, Tamvakis

  7. Neutrino mass and dark energy Symmetry needed to keep it light Quintessence field CP violating field of neutrino mass matrix? Barbieri, Hall, Oliver, Strumia Mass varying neutrinos Fardon, Nelson, Weiner energy in A At finite density :

  8. Hierarchy … dimension of operator … order of radiative corrections Structure Can get normal, inverted or degenerate structures (NB Radiative corrections can split precise degeneracies unless protected by symmetry)

  9. 10 100 10-1 10-2 10-3 10-4 eV Unravelling the origin of mass….. Many possibilities, many parameters… …difficult (impossible) unless we are lucky! Small in quark sector, large in lepton sector? Mixing Non Abelian Structure? Bi-Tri Maximal Mixing … Harrison, Perkins, Scott ansatz

  10. Tri-Bi-Maximal mixing

  11. Discrete non Abelian family symmetry Bi-maximal But what about the charged lepton sector Need complete theory…

  12. Two ingredients : “See-saw” with sequential domination SRHD King small (Discrete) Non-Abelian family symmetry King, GGR, Varzielas Vacuum alignment

  13. Vacuum alignment Altarelli,Feruglio King,GGR,Varzielas

  14. Summary Origin of mass and mass hierarchy - Many possibilities for both Majorana and Dirac masses : Heavy see-saw, light see-saw, bare Dirac, radiative generation, radiative running, running masses…dark energy - All patterns of mass possible : normal, inverted, degenerate What do we learn from the mixing angles? -Hints at an underlying (spontaneously broken) family symmetry? SO(10)XSU(3)?Unified theory of quark, charged lepton and neutrino masses with related textures

  15. I de Medeiros, GGR King, Vives, Velasco Sevilla… Spontaneous symmetry breaking c.f. Georgi-Jarskog Common texture zero only terms allowed by G

  16. Summary Origin of mass and mass hierarchy - Many possibilities for both Majorana and Dirac masses : Heavy see-saw, light see-saw, bare Dirac, radiative generation, radiative running, running masses…dark energy - All patterns of mass possible : normal, inverted, degenerate What do we learn from the mixing angles? -Hints at an underlying (spontaneously broken) family symmetry? SO(10)XSU(3)?Unified theory of quark, charged lepton and neutrino masses with related textures - A discrete non-Abelian subgroup can give vacuum alignment needed for bi-tri-maximal mixing

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